A device and technique for storing flexible media of different dimensions is described. In an implementation, the device includes a carriage having at least two rotating members, a membrane wrapped about each rotating member, a frame and at least one actuator. When flexible media, such as a banknote, is fed into the device, the actuator causes the carriage to move in a forward direction so that a first membrane unwraps to press a banknote onto a stack. The carriage then moves in a reverse direction back into an initial position, and the first membrane wraps about a rotating member and a second membrane unwraps to hold the banknote in place.